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Simplifying 0.5(0.1x + 0.3) = -0.5 Reorder the terms: 0.5(0.3 + 0.1x) = -0.5 (0.3 * 0.5 + 0.1x * 0.5) = -0.5 (0.15 + 0.05x) = -0.5 Solving 0.15 + 0.05x = -0.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.15' to each side of the equation. 0.15 + -0.15 + 0.05x = -0.5 + -0.15 Combine like terms: 0.15 + -0.15 = 0.00 0.00 + 0.05x = -0.5 + -0.15 0.05x = -0.5 + -0.15 Combine like terms: -0.5 + -0.15 = -0.65 0.05x = -0.65 Divide each side by '0.05'. x = -13 Simplifying x = -13
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